Some Quot schemes in tilted hearts and moduli spaces of stable pairs
Abstract
For a smooth projective variety X, we study analogs of Quot functors in hearts of non-standard t-structures of Db(Coh(X)). The technical framework is that of families of t-structures, as studied in arXiv:1902.08184. We provide several examples and suggest possible directions of further investigation, as we reinterpret moduli spaces of stable pairs, in the sense of Thaddeus (arXiv:alg-geom/9210007) and Huybrechts-Lehn (arXiv:alg-geom/9211001), as instances of Quot schemes.
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